Band reject filters

ABSTRACT

Band reject filters are disclosed. A band reject filter includes a first acoustic resonator and a second acoustic resonator, each of which has either shunt resonators adapted to resonate substantially at respective resonance frequencies defining a rejection frequency band or series resonators adapted to anti-resonate substantially at respective anti-resonance frequencies defining the rejection frequency band. These resonators are connected through a phase shifter which imparts an impedance phase shift of approximately 45° to 135°. Exemplary applications of the band reject filters disclosed herein include implementation as an inter-stage band reject filter for a base station power amplifier for a wireless communication system, as a radio frequency band reject filter in a duplexer for a wireless communication terminal, and in a low noise amplifier input stage.

CROSS-REFERENCE TO RELATED APPLICATIONS

This application claims the benefit of U.S. Provisional PatentApplication Ser. No. 60/623,049 filed on Oct. 29, 2004.

This application also claims the benefit of, and is a National PhaseEntry of, PCT Application Serial No. PCT/CA2005/001492 filed on Sep. 30,2005, which in turn claims the benefit of the above provisional patentapplication.

The entire contents of these related patent applications areincorporated in their entirety herein by reference.

FIELD OF THE INVENTION

This invention relates generally to filtering, and in particular to bandreject filters.

BACKGROUND

Surface acoustic wave (SAW) devices have been studied and graduallycommercialised since the mid 1960s. Such devices typically haveelectrodes in the form of interlocked “fingers” (so-called inter-digitalelectrodes) formed on a piezoelectric substrate. When high frequencysignals are applied to the input electrodes, mechanical vibrations inthe form of travelling acoustic waves are generated in the piezoelectricsubstrate which are picked up by the output electrodes. Generallyspeaking, when the wavelength of the surface acoustic waves and theperiod of the electrode “fingers” are the same, the magnitude of thesurface acoustic waves are at their greatest and the device has a lowelectrical impedance. The frequency band at which the impedance is lowdefines the “pass band”. At other input frequencies, Outside the passband, the device appears to have a higher electrical impedance.

Thus, a so-called “SAW resonator filter” can be made to have a veryprecise and narrow (typically having a Q factor over 1000), band passcharacteristic. Furthermore, since surface acoustic waves travel acrossthe substrate 100000 times more slowly than the speed of electromagneticwaves, such devices are generally compact and implemented on a singledie. In practice, such devices can be used in a ladder configuration(with a plurality of shunt and plurality of series resonator filtersused together). This allows a combined band pass characteristic to betuned as desired.

These types of devices have found many uses, but suffer from twosignificant disadvantages which prevent their use in some applications.Firstly, band pass filters produced using SAW resonators typically haverelatively high insertion losses typically of a minimum of 1 or 2 dB.The state of the art presently is an insertion loss of about 1 dB in thepass band with a rejection of about 15 dB in the stop band for a singlestage band pass ladder filter. The losses typically occur as a result ofvisco-elastic attenuations and/or mode conversions from SAW to bulkacoustic waves when the electrical energy is converted to acousticenergy and travels around the SAW filter cavity. Secondly, the powerhandling capability of SAW filters is limited. At high powers, theultrasonic vibration to which the metallic electrodes are subjectedeventually causes the metal grain boundaries to migrate. Thus, forexample, at the present 1800, 1900 and 2100 MHz mobile communicationbands, such filters are barely able to withstand the typical transmitpowers of 500 mW to 1 W for the typical life of a handset. Furthermore,to achieve this modest power handling capability, very advanced materialsystems have been developed.

SAW band reject filters potentially offer a way forward. In a bandreject filter, the magnitude of the impedance is greatest at therejection frequency band. At other input frequencies, the pass band, thedevice has a low electrical impedance. Since a SAW band reject filtercan be designed to behave as an interdigital transducer (IDT) capacitiveelement within its pass band, and only exhibit a strong acousticresponse within its rejection band, it is possible for these filters toachieve very low insertion losses and handle significantly larger powersthan corresponding band pass filters. At frequencies away from therejection band (i.e. at the device's pass band) the acoustic response ofthe device is very weak and as such viscoelastic attenuation or acousticmode conversions is very minimal and the attainable insertion loss isprimarily limited by the Q of the few matching components and the IDTcapacitor (SAW transducer). Furthermore, acousto-electric migration isno longer as significant an issue and hence the device is able to handlemuch more power and is primarily only limited by arcing across theIDT's. Despite the tremendous potential of SAW notch and band rejectfilters, relatively little work has been done on them to date.

C. S. Hartman produced some of the first publications on SAW notchfilters, including U.S. Pat. No. 4,577,168, that issued Mar. 18, 1986,and C. S. Hartman, J. C. Andle and M. B. King “SAW Notch Filters,” Proc.1987 Ultrasonics Symposium, Vol. 1, pp. 131-138. Various techniques forimplementing SAW notch filters were presented where the conductancewithin the pass band of a single-phase unidirectional transducer (SPUDT)was used as an impedance element to create a notch filter. Oneimplementation employed the impedance of the SPUDT transducer inconjunction with a Radio Frequency (RF) transformer and otherimplementations replaced the capacitors in a bridge-T type notch filterwith a SPUDT transducer impedance element.

A variation on this technique was presented in 1990 by Gopani et al. (S.Gopani and B. A. Horine “SAW Waveguide-Coupled Resonator Notch Filter”Ultrasonics Symposium, 1990), where a Two-Pole Waveguide CoupledResonator was imbedded in an all pass network to implement a notchfilter. A further modification was presented by Lorenz et al. in 1998(P. A. Lorenz and D. F. Thompson, “Wide Bandwidth Low Cost SAW NotchFilters”, Ultrasonics Symposium, 1998). This technique consisted ofplacing two single pole SAW resonators in series with a shunt inductorin between them to resonate out their static capacitances.

Leveraging the inherent advantages of band reject filters, the presentinventors developed a band reject filter based on a SAW ladder filter(U.S. Pat. No. 6,710,677, issued Mar. 23, 2004, and S. Beaudin, C. Y.Jian and S. Sychaleun “A New SAW Band Reject Filter and its Applicationsin Wireless Systems”, Ultrasonics Symposium, 2002). The design techniquefor this previous SAW band reject filter was based on the reverse of thevery well known band pass ladder filter of Y. Sato, O. Ikata, T.Matsuda, T. Nishihara and T. Miyashita “Resonator-Type Low-LossFilters,” Proc. Int. Symp. SAW Devices for Mobile Comm., pp. 179-185,1992.

In a band pass structure, one seeks to generate a pass band using theresonance of the series resonator and the anti-resonance of the shuntresonator. The insertion loss can be minimized by providing a very lowseries impedance and a very high shunt impedance. The inventors'previous band reject filter consisted primarily of generating a bandreject filter by using the anti-resonance of the series resonator andthe resonance of the shunt resonator where the depth of the rejectionband was maximized by increasing the series impedance and minimizing theshunt impedance. For the well known pass band device, one seeks tooptimize out of band rejection by minimizing the ratio of the series toshunt static capacitances. For the inventors' previous band rejectfilter, the opposite was true in that the inventors sought to minimizeinsertion loss by maximizing the ratio of the series to shunt staticcapacitances. It was noted that one can transform a pass band ladderfilter into a corresponding band reject ladder filter very simply byinverting the shunt and series resonators in each arm of the ladderfilter.

The resultant band reject filter was shown to provide very low insertionlosses as well as being able to withstand substantially higher powerswithin its pass band. For example, some prototypes at 800 MHz have lessthan 0.5 dB of insertion loss in their pass band, provide >35 dBrejection in a rejection band and have withstood RF powers of 42 dBm forseveral weeks within their pass bands. The power handling capability isa full order of magnitude improved compared to a similar pass band SAWladder filter of similar size.

Although filters of this type exhibit very low losses and high powerhandling capabilities, the design approach lacks flexibility wherecomplex filter responses are desired. In order to generate a deeprejection band it is necessary to have a low impedance to ground workingagainst a high series impedance. Both series and shunt resonators areused. The shunt resonator is used to generate a low RF impedance toground at its resonance frequency and the anti-resonance of a seriesresonator is used to generate the high series impedance. Furthermore, tominimize loss in the pass band it is necessary to minimize thecapacitance of the shunt resonator and maximize the capacitance of theseries resonator, which introduce constraints on the resonator design.These filters are also generally intended for applications in which allfilter components are in close proximity to each other, whereas manymodern high frequency RF and microwave devices in which band rejectfilters could potentially be implemented often use distributed elements.

SUMMARY OF THE INVENTION

Embodiments of the present invention allow low cost technologies such asSAW or FBAR (thin Film Bulk Acoustic Resonators) to be used to designvery low loss filters which can withstand very high RF powers. Thesefilters may achieve sufficiently low loss to be used on the front end ofa network element such as a BTS (Base Transceiver Station) in acommunication system, an area which tended to be reserved exclusively tovery expensive cavity or waveguide filters.

Distributed filter approaches as disclosed herein also allow a filterdesigner to generate a desired response using only series or only shuntresonators. The resonators need not be restricted to a single die. Phaseshift elements such as impedance inverters enable high levels ofrejection to be achieved and also improve the pass band response.

In general the desired phase shift is between 45° and 135° depending onwhether one wishes to optimize for rejection band depth or pass bandinsertion loss. Rejection band depth may be optimized by an impedanceinversion, i.e. a phase shift of approximately 90°. Pass band insertionloss may be optimized by phase shifting the impedance to its complexconjugate; the complex conjugate may occur at a phase shift ofapproximately 90° but the required phase shift may also be more or less,in the range of 45° to 135°. A natural matching occurs when theimpedance, usually a capacitive load, of one resonator or group ofresonators is rotated to present an impedance which is close to thecomplex conjugate of another resonator or group of resonators and as aresult there is a natural matching which occurs in the desired pass bandof the distributed band reject filter.

According to one aspect of the invention, there is provided a radiofrequency band reject filter which includes a first acoustic resonatorand a second acoustic resonator. Each of the first and second acousticresonators has either shunt resonators adapted to resonate substantiallyat respective resonance frequencies defining a rejection frequency bandor series resonators adapted to anti-resonate substantially atrespective anti-resonance frequencies defining the rejection frequencyband. The filter also includes a phase shifter connecting the firstacoustic resonator and the second acoustic resonator and adapted toimpart an impedance phase shift of between 45° and 135°.

A further aspect of the invention provides a method of filtering asignal comprising: passing the signal through a first acoustic resonatorcomprising either a shunt resonator adapted to resonate substantially ata resonance frequency defining a rejection frequency band or a seriesresonator adapted to anti-resonate substantially at an anti-resonancefrequency defining the rejection frequency band; passing the signalthrough a phase shifter adapted to impart an impedance phase shift ofbetween 45° and 135°; and passing the signal through a second acousticresonator comprising a second acoustic resonator of the same shunt orseries type as the first acoustic resonator.

Other aspects and features of embodiments of the present invention willbecome apparent to those ordinarily skilled in the art upon review ofthe following description of specific illustrative embodiments of theinvention.

BRIEF DESCRIPTION OF THE DRAWINGS

Examples of embodiments of the invention will now be described ingreater detail with reference to the accompanying drawings, in which:

FIG. 1 is a schematic diagram of a band reject filter according to anembodiment of the invention;

FIG. 2 illustrates a simulated response characteristic for a filteraccording to a filter of the type shown in FIG. 1;

FIG. 3 illustrates simulated response characteristics for a filter ofthe type shown in FIG. 1 and a filter having identical resonators but nophase shifter;

FIG. 4 is a schematic diagram of a band reject filter according toanother embodiment of the invention;

FIG. 5 illustrates a simulated response characteristic for a filteraccording to a filter of the type shown in FIG. 4;

FIG. 6 illustrates simulated response characteristics for a filter ofthe type shown in FIG. 4 and a filter having identical resonators but nophase shifter;

FIG. 7 is a schematic diagram of a band reject filter according toanother embodiment of the invention;

FIG. 8 illustrates a simulated response characteristic for a filter ofthe type shown in FIG. 7;

FIG. 9 is a schematic diagram of a band reject filter according to yetanother embodiment of the invention;

FIG. 10 illustrates a simulated response characteristic for a filter ofthe type shown in FIG. 9, without phase shifters;

FIG. 11 illustrates a simulated response characteristic for a filter ofthe type shown in FIG. 9;

FIG. 12 is a schematic diagram of a band reject filter according to afurther embodiment of the invention;

FIG. 13 illustrates a simulated response characteristic for a filter ofthe type shown in FIG. 12;

FIG. 14 is a schematic diagram of a band reject filter in accordancewith a still further embodiment of the invention;

FIG. 15 is a schematic diagram of a shunt multipole band reject filteraccording to another embodiment of the invention;

FIG. 16 is a simulated response characteristic for a shunt multipolefilter of the type shown in FIG. 15;

FIG. 17 is a schematic diagram of a series multipole band reject filteraccording to another embodiment of the invention;

FIG. 18 is a schematic diagram of a grouped resonator band reject filteraccording to an embodiment of the invention;

FIG. 19 is a schematic diagram of a circuit in which four shuntresonators are connected in parallel;

FIG. 20 illustrates a simulated response characteristic and Smith chartfor the circuit of FIG. 19;

FIG. 21 is a schematic diagram of the circuit of FIG. 19 with an addedphase shifter;

FIG. 22 illustrates a simulated response characteristic and Smith chartfor the circuit of FIG. 21;

FIG. 23 is a schematic diagram of a band reject filter which includestwo of the circuits shown in FIG. 19 connected through a phase shifter;

FIG. 24 illustrates a simulated response characteristic and Smith chartfor a filter of the type shown in FIG. 23;

FIG. 25 is a block diagram of a network element for a wirelesscommunication system in which band reject filters in accordance withembodiments of the invention may be implemented;

FIG. 26 is a block diagram of a power amplifier or LNA (Low NoiseAmplifier) circuit featuring a band reject filter according to anembodiment of the invention;

FIG. 27 is a block diagram of a power amplifier or LNA circuit featuringa band reject filter according to an embodiment of the invention; and

FIG. 28 a to 28 d shows representations of lumped elementquarter-wavelength approximations.

DETAILED DESCRIPTION OF PREFERRED EMBODIMENTS

High frequency RF and microwave designs often use distributed elements.Band reject filter design can be made more versatile, with improvedperformance, by leveraging impedance inverters between adjacentresonators. One of the simplest forms of an impedance inverter is simplya transmission line with approximately 90° of phase shift at the desiredfrequency of operation. Impedance inverters can also be designed asdiscrete components using lumped elements at lower frequencies where thequarter-wavelength transmission line would be excessively large or wherespace is critical. The use of impedance inverters enables band rejectfilters to be created using exclusively shunt or exclusively seriesresonators. Furthermore, these band reject filters can be designed toutilize, as an impedance inverter, the quarter-wave transmission lineswhich are already present in elements such as a Quadrature coupler,Wilkinson combiner or Balun, all elements which already exist on some PA(Power Amplifier) and LNA (Low Noise Amplifier) boards. The phaseshifter effectively acts as an impedance inverter, which enhances bandreject depth and improves pass band match resulting in much improvedoverall performance. The need for discrete impedance matching componentsis also eliminated in some embodiments.

FIG. 1 is a schematic diagram of a band reject filter according to anembodiment of the invention. The band reject filter of FIG. 1 includesshunt resonators Res1 and Res2 connected by a phase shifter PS1 betweeninput port In1 and output port Out1. The shunt resonators Res1 and Res2are also connected in parallel to ground Gnd. The shunt resonators Res1and Res2 may be SAW resonators, FBARs, or BAW Resonators, for example. Atransmission line having a length that is approximately ¼ wavelength ata representative wavelength in the rejection band or a Shiffman coupler,for instance, may be used as the phase shifter PS1, which acts as animpedance inverter.

In operation, shunt resonators Res1 and Res2 generate shorts to groundGnd substantially at their respective resonance frequencies.Anti-resonance associated with the shunt resonators Res1 and Res2generates a high impedance to ground Gnd and is not significant atfrequencies other than respective anti-resonance frequencies of theshunt resonators Res1 and Res2. The phase shifter PS1 rotates theimpedance of shunt resonator Res2 such that the resonance to ground(short circuit) of shunt resonator Res2 appears as a high seriesimpedance from the point of view of shunt resonator Res1. The short toground of shunt resonator Res1 is thus working against a high seriesimpedance, which gives a deep rejection band.

In such a scenario the rejection band depth increases significantly.There is also a corresponding improvement in pass band response sincethe capacitive impedance of the shunt resonator Res2 within the passhand is rotated about the Smith chart (see FIGS. 19-24) and is nowpresenting an inductive impedance to the shunt resonator Res1. Pass bandresponse can be optimize by adjusting the amount of phase shift suchthat the resonance of the shunt resonator Res2 is rotated to provide animpedance which is approximately the complex conjugate of the impedanceof the shunt resonator Res1, resulting in a very flat, low loss passband. The appropriate amount of phase shift can vary from 45° to 135°.The exact amount of phase shift needed to provide a complex conjugatematch will vary from design to design but will be approximately 90°±45°.When a complex conjugate impedance match is achieved, the pass bandresponse is optimized but it may be at a slight expense of the rejectionband depth.

Ladder-type band reject filters generate high series impedance usinganti-resonance of a series resonator. In the filter of FIG. 1, thecombination of the shunt resonator Res2 and the phase shifter PS1effectively generates a high series impedance.

FIG. 2 illustrates a simulated response characteristic for a filteraccording to the embodiment of the invention of FIG. 1. The rejection isshown as a function of frequency. It should be appreciated that theparticular response characteristic shown in FIG. 2 is presented solelyfor illustrative purposes. Other response characteristics may beexhibited by filters according to other embodiments of the invention.

FIG. 3 illustrates simulated response characteristics for a filteraccording to the embodiment of the invention shown in FIG. 1 and afilter having identical shunt resonators Res1 and Res2 but no phaseshifter. A trace 10 having a steeper pass band to rejection bandtransition and a lower rejection band corresponds to a filter of thetype shown in FIG. 1. A trace 11 corresponds to the filter having nophase shifter. Thus, it will be apparent that the phase shifter PS1improves rejection and also improves pass band match.

FIG. 4 is a schematic diagram of a band reject filter according toanother embodiment of the invention. The band reject filter of FIG. 4includes series resonators Res4 and Res5 connected by a phase shifterPS4 between input port In4 and output port Out4. Thus, the seriesresonators Res4 and Res5 may be SAW or FBAR devices and the phaseshifter PS4 may be a transmission line, discrete impedance inverter, orcoupler, for example.

A rejection band or notch is generated in the filter of FIG. 4 usinghigh impedance anti-resonance of each of the series resonators Res4 andRes5 at substantially its respective anti-resonance frequency. The phaseshifter PS4 rotates the impedance of one of the series resonators Res4and Res5 with respect to the other such that an anti-resonance of eachresonator is working against a low impedance, which provides improvedrejection. Impedance rotation by the phase shifter PS4 also ensures goodmatching within the pass band.

FIG. 5 is a simulated response characteristic for a filter according toa filter of the type shown in FIG. 4. Of course, filters may be designedto exhibit desired response characteristics which may be different thanthe response characteristic shown in FIG. 5 and those in subsequentfilter response plots described below.

FIG. 6 illustrates simulated response characteristics for a filter ofthe type shown in FIG. 4 and a filter having identical series resonatorsRes4 and Res5 but no phase shifter PS4. A trace 12 having a lowerrejection band and steeper pass band to rejection band transitioncorresponds to a filter of the type shown in FIG. 4. A trace 13corresponds to the filter having no phase shifter PS4. The effect of thephase shifter PS4 in the filter of FIG. 4 will be apparent from acomparison of the two traces 12 and 13 in FIG. 6. There is a significantimprovement in rejection band depth as well as pass band loss andflatness.

FIG. 7 is a schematic diagram of a band reject filter according toanother embodiment of the invention. The series-shunt band reject filtershown in FIG. 7 includes a series resonator Res7 and a shunt resonatorRes8 comprising a first pair of resonators and a series resonator Res9and a shunt resonator Res10 comprising a second pair of resonators. Theseries resonator Res7 connects to an input In7 and the series resonatorRes9 connects to an output Out7. The shunt resonators Res8 and Res10 areboth connected to ground Gnd. An inductor ID1 is also connected to thefirst pair of resonators and connects between the input In7 and groundGnd. Similarly, an inductor ID2 is also connected to the second pair ofresonators and connects between the output Out7 and ground Gnd. In thisparticular design the inductors are beneficial to improve pass bandresponse by tuning out part of the capacitance of the resonator elementswithin the filter pass band. The first pair of resonators and the secondpair of resonators are connected in series by a phase shifter PS7. Thecombination of inductors and phase shifter make it possible to providean impedance inversion in the rejection band and a complex conjugatematch in the pass band simultaneously.

The operation of the filter of FIG. 7 will be apparent from theforegoing description of the shunt and series filters of FIGS. 1 and 4.In particular, the phase shifter PS7 rotates the impedance of the shuntresonator Res10 such that the resonance to ground Gnd of shunt resonatorRes10 appears as a high series impedance from the point of view of theshunt resonator Res8. The short to ground of the shunt resonator Res8 isthus working against a high series impedance. The phase shifter PS7 alsorotates the impedance of the series resonator Res9 such that theanti-resonance of the series resonator Res7 is working against a lowimpedance to ground Gnd. The net result is to reverse the effectivepositions in the circuit of the resonators Res9 and Res10.

The response characteristic of FIG. 8 illustrates the good pass bandmatch provided by utilizing the phase shifter PS7 in the filter of FIG.7. Effective pass band complex conjugate impedance match provides lowloss and makes matching using discrete components less critical.

FIG. 9 is a schematic diagram of a band reject filter according to yetanother embodiment of the invention. The filter of FIG. 9 is a shuntband reject filter designed around a splitter/combiner, illustratively aWilkinson splitter/combiner. The Wilkinson splitter/combiner circuit hasinput/output impedances R1, R2 and R3, in branches B1, B2 and B3,respectively, of equal nominal value, for example, 50 Ohms. Theseresistors are not part of the circuit but representative of the sourceand load impedances at the respective ports. A matching resistor R4,connected across the branches B2 and B3, has a nominal value twice thatof the output load impedance, in this example, 100 Ohms. Theinput/output impedance R1 is connected by a transmission line TL5 to ajunction J1 (Note that TL5 need not be in the circuit). The transmissionline TL5 has a nominal impedance of 50 Ohms. The junction J1 connects tothe input/output impedances R2 and R3 through quarter-wave transmissionlines TL2 and TL3 in the branches B2 and B3. The quarter-wavetransmission lines TL2 and TL3 have the same nominal impedance, in thisexample 70.7 Ohms, and provide a nominal phase shift of 90° at thedesired rejection band frequency.

The quarter-wave transmission lines TL2 and TL3, because of their phaseshift characteristics, can be used as a basis for a band reject filter.In particular, shunt resonators Res12 and Res11 have been added to thebranches B2 and B3. A shunt resonator Res13 has been added to branch B1.The shunt resonator Res13 is located on the opposite side of thequarter-wave transmission lines TL2 and TL3 from the resonators Res12and Res11. Thus the combination of the resonator Res13, the quarter-wavetransmission line TL2 and the resonator Res12 act as a band rejectfilter in branch B2 and the combination of the resonator Res13, thequarter-wave transmission line TL3 and the resonator Res11 act as a bandreject filter in branch B3. The operation of each band reject filter isas described with respect to FIG. 1.

In many cases, quarter-wave phase shifters are already provided incommunication equipment in the form of Wilkinson dividers as in theexample of FIG. 9. FIG. 9 describes how distributed band reject filterscan also be designed into a Wilkinson divider by placing resonators oneither end of the quarter-wave transmission lines. Band reject filtersmaking use of quarter-wave lines which are already provided incommunication equipment, on a PCB (Printed Circuit Board), for instance,reduce space requirements and loss associated with filterimplementation.

The effect of impedance inversion by the phase shifters in FIG. 9 isapparent from a comparison of FIGS. 10 and 11. FIG. 10 illustratessimulated response characteristics for Res13 and Res12 or Res11individually. FIG. 11 illustrates a simulated filter response of thecircuit shown in FIG. 9. The 3 dB loss in FIG. 11 is due to powersplitting. Actual dissipated loss is on the order of 0.1 dB.

FIG. 12 is a schematic diagram of a band reject filter according to afurther embodiment of the invention. The filter of FIG. 12 is based on asplitter, as is the filter of FIG. 9, but the filter of FIG. 12 is aseries band reject filter. Input/output transmission lines TL6, TL9 andTL10 of FIG. 12 are nominally of 50 Ohms impedance. A matching resistorR5 is connected across the input/output transmission lines TL9 and TL10.Two quarter-wave transmission lines TL8 and TL7 of 70.7 Ohm nominalimpedance connect at a junction J2. Three series resonators Res15, Res16and Res14 are embedded into the splitter, with the series resonatorsRes15, Res16 and Res14 being connected by phase shifters, illustrativelythe quarter-wave transmission lines TL8 and TL7. The resulting seriesband reject filters operate as described with respect to FIG. 2. FIG. 13is a simulated response characteristic for a filter of the type shown inFIG. 12.

Band reject filters may also be designed around a quadrature coupler,similar to the Wilkinson divider embodiments described above. Basically,pairings of series or shunt resonators would be distributed across thequadrature coupler, which provides a phase shift of 90°, to generate therejection band.

A further example of a series band reject filter embedded in a Wilkinsonsplitter is shown in FIG. 14. As above, input/output source and loadimpedances R6, R7 and R8 have the same nominal value. A matchingresistor R9 connected across the branches of the splitter has twice thenominal impedance value of the input/output source and load impedancesR6, R7 and R8. A Transmission line TL12 connects the input to a junctionJ3. Inductors L1, L2 and L3 are provided at the input and the output toimprove pass band response. In this case, parallel groups of seriesresonators Res20 to Res28, Res30 to Res38, and Res40 to Res48 areprovided. Connection of series resonators in parallel, as shown,increases the power handling capability of the filter. Quarter-wavetransmission lines TL14 and TL16 separate the parallel groups of seriesresonators Res20 to Res28, Res30 to Res38, and Res40 to Res48. Thequarter-wave transmission lines TL14 and TL16 provide a quarter-wavephase shift at the reject band to allow operation of the filter asdescribed with respect to FIG. 4.

FIG. 15 is a schematic diagram of a multipole filter according toanother embodiment of the invention. M resonators, illustratively 9shunt resonators Res51 to Res59 in FIG. 15, are connected by M-1 phaseshifters, illustratively 8 phase shifters PS51 to PS58 in FIG. 15. Theshunt resonators Res51 to Res59 are shunted to ground Gnd and connectacross an input In50 to an output Out50. FIG. 15 illustrates that thefilter can be cascaded and tailored to particular requirements. Themultipole filter operates in a substantially similar manner as the shuntfilter described in respect to FIG. 1.

Very complex filters can be constructed using multiple phase shiftersPS51 to PS58 as shown in FIG. 15. This type of filter structure may alsoprovide rejection over a relatively wide bandwidth by tuning each of theresonators Res51 to Res59 to a slightly different resonance frequency toincrease rejection bandwidth. More resonators can be concentrated over aspecific frequency range if enhanced rejection in that frequency rangeis needed.

FIG. 16 is a simulated response characteristic for a shunt multipolefilter of the type shown in FIG. 15. The characteristic shown in FIG. 16was generated by simulating the filter of FIG. 15 with duplicate 869 and874 MHz resonators to enhance the rejection band on the low side. Forthe purposes of simulation, the resonators Res51 through Res57 were setto resonate at 869 MHz, 874 MHz, 877 MHz, 881 MHz, 886 MHz, 890 MHz, and895 MHz, respectively, and the resonators Res58 and Res59 wererespective duplicates of the resonators Res51 and Res52. This results inthe enhanced rejection on the low side of the rejection band asillustrated in FIG. 16 and as summarized in Table 1:

TABLE 1 Trace Marker Frequency (MHz) Rejection (dB) m1 868.9 −37.414 m2894.0 −17.229 m6 849.0 −0.783 m7 824.0 −0.263Of course, other rejection band frequencies and responses may begenerated by using resonators with different resonance frequencies.

FIG. 17 is a schematic diagram of a series resonator implementation of amultipole band reject filter. The filter of FIG. 17 is substantiallysimilar to the filter of FIG. 15, but includes series resonators Res61to Res69, instead of shunt resonators, connected through quarter-wavetransmission lines TL61 to TL68 with terminal resistors R10 and R11. Thefilter of FIG. 17 operates in a substantially similar manner as thefilter described in respect to FIG. 4 but allows the tuning of themultiple resonators Res61 to Res69 as described in connection with FIG.15.

The above illustrative embodiments of the invention, with the exceptionof the filter shown in FIG. 14, include single resonators connectedthrough phase shifters. However, groups of resonators may also beconnected in a substantially similar manner.

FIG. 18 is a schematic diagram of an example of such a grouped resonatorfilter. In FIG. 18, a first group of shunt resonators Res71 to Res75 areconnected in parallel and thereby grouped together, and a second groupof shunt resonators Res76 to Res79 are similarly grouped by parallelconnection. The first group of shunt resonators Res71 to Res75 and thesecond group of shunt resonators Res76 to Res79 are connected through aphase shifter 70 between an input In70 and an output Out70 as describedin connection with FIG. 1. More generally, N resonators may be groupedtogether and connected through a phase shifter to a group of Mresonators, where N and M may or may not be equal. Although connected inparallel, grouped resonators need not necessarily be on the same diewhen the filter is implemented on an integrated circuit.

In a grouped resonator filter, each resonator generates a low impedanceto ground at its own resonance frequency. Anti-resonance here is a highimpedance to ground and is of little interest. At frequencies away fromresonance & anti-resonance frequencies, the filter acts like a capacitorto ground. Additional capacitance to ground has little impact on theresonance frequencies of individual resonators.

Grouped resonator filters work very well in shunt implementations.Parallel connection of series resonators generally provides only oneanti-resonance frequency at which high impedance is generated.

The effect of a phase shifter between resonators is further explainedwith reference to FIGS. 19 to 24. FIG. 19 is a schematic diagram of acircuit in which four shunt resonators Res81 to Res84 are connected inparallel without phase shifters. Also included are input/outputresistors R15 and R16 and inductors L4 and L5. The multiple resonancesto ground provided by the four shunt resonators Res81 to Res84 connectedin parallel can be seen as low impedance resonances on a Smith chart, asshown in FIG. 20.

In the Smith chart, the circles correspond to a constant real impedance.The small circle on the right is 100 Ohms, the center circle is 50 Ohmsand the Larger circles 25 Ohms. The edge of the Smith chart is 0 Ohms.Horizontal lines represent imaginary inductive or capacitive impedance.The center is zero. Above a center line is inductive impedance withhigher inductance as you move up. Capacitive impedances are below thecenter line with more capacitance as you move down. The horizontal arclines projecting from the right correspond to constant capacitive orinductive impedance.

FIG. 20 shows the correlation of the Smith chart to simulated responsecharacteristics. In the pass band, defined by the range between themarkers m8 and m9, rejection is low. At the marker m8, the frequency is849 Mhz and the rejection is 0.476 dB. Similarly, at the marker m9, thefrequency is 824 Mhz and the rejection is 0.215 dB. At the resonancefrequencies, of the resonators Res81 to Res84, the rejection is muchgreater. In the S21 response, the resonances show up as zeros.

FIG. 21 is a schematic diagram of the circuit of FIG. 19 with an addedphase shifter TL80 located before the resonators. FIG. 22 shows asimulated response characteristic and Smith chart for the resonantcircuit of FIG. 21.

With four shunt resonators connected in parallel and a phase shifterlocated as shown in FIG. 21, the resonant circuit exhibits substantiallythe same amplitude response as the circuit of FIG. 19 (compare simulatedresponse characteristics shown in FIGS. 20 and 22). However, from thepoint of view of looking through the phase shifter TL80, the Smith chartin FIG. 22 clearly shows that the 4 shunt resonances Res81 to Res84 havebeen rotated from the low impedance side (Smith chart of FIG. 20) to thehigh impedance side of Smith chart. The markers m8 and m9 in FIG. 22defining the pass band have also been rotated. In the Smith chart ofFIG. 20, the markers represented a capacitive load of about 50 ohms. InFIG. 22, the impedances corresponding to the markers are inductive andare close to the complex conjugates of the capacitive loads of FIG. 20.

FIG. 23 is a schematic diagram of a band reject filter which includestwo of the resonant circuits shown in FIG. 19, the first comprisingshunt resonators Res81 a to Res84 a and inductors L4 a and L5 a and thesecond comprising shunt resonators Res81 b to Res84 b and inductors L4 band L5 b, connected through a phase shifter in the form of aquarter-wave transmission line TL80. FIG. 24 shows simulated responsecharacteristics and Smith chart for a filter of the type shown in FIG.23. As illustrated in FIG. 24, the rejection band of the filter of FIG.23 is improved from approximately −9 dB to approximately −23 dB relativeto the rejection bands of the resonant circuits of FIGS. 19 and 21. Animproved pass band response of the filter of FIG. 23 can also beobserved from a comparison of the response characteristics of FIGS. 20,22, and 24. The filter of FIG. 23 exhibits a near ideal match on the lowside of the pass band.

In FIGS. 19 to 24, the phase shifter has been adjusted to rotate therejection band (resonances of the shunt resonators) to provide animpedance inversion. In so doing the pass band (denoted by the markersm8 and m9) of one group of resonators Res81 b-Res84 b is rotated tobecome inductive and thereby tune out the capacitive pass band impedanceof the other group of resonators Res81 a-Res84 a. At the marker m9 therotation almost provides a complex conjugate but the response at themarker m8 is slightly over rotated. Had the amount of phase shift beendecreased, the pass band response at the marker m8 could have beenimproved but at a slight expense to the rejection band depth since therejection band depicted by the resonances on the Smith chart in FIG. 22would now have been insufficiently rotated on the Smith chart.

In the foregoing description, the term “phase shifter” has been used togenerally refer to a component which imparts a phase shift or rotationof between 45° and 135°; at 90° of rotation, a phase shifter acts as animpedance inverter. Examples of such as phase shifter includequarter-wave transmission lines and various types of couplers andsplitters/combiners. Discrete phase shifter can also be created usinglumped elements. At lower frequencies and other operating conditions inwhich a distributed phase shifter would be too large, for example,discrete impedance inverters may be preferred. Virtually anyimplementations of such phase shifter may be provided in conjunctionwith acoustic resonators to provide band reject filters according toembodiments of the invention.

Typical examples of discrete impedance inverters can be seen in FIGS. 28a to 28 d comprised of inductors L, capacitors C and ground G. These arefour well known topologies which will yield an impedance inversion. Foreach structure the value of the capacitors and inductors can beapproximated as follows:

$\begin{matrix}{L = \frac{Z_{o}}{2\pi*f_{o}}} & {{Eqn}\text{:}\mspace{20mu} 1} \\{C = \frac{1}{2\pi*f_{o}*Z_{o}}} & {{Eqn}\text{:}\mspace{20mu} 2}\end{matrix}$

The value of the capacitance and inductance may vary slightly in anattempt to optimize either the pass band or rejection band. In someinstances it may be beneficial to incorporate the value of the SAW orFBAR static capacitance into the value of the required capacitancedefined in Eqn. 2. The band reject filters described above can bedesigned on a large variety of substrates depending on the applicationand targeted specifications. For example, those skilled in the art willappreciate that the term “SAW” can be extended beyond the classicalRayleigh wave and also encompasses Leaky SAWs, Surface Skimming BulkWaves and Surface Transverse Waves.

In general, the type of wave will depend on the substrate chosen. A fewexamples of substrates supporting the classical Rayleigh mode are STQuartz, YZ Lithium Niobate, 128 degree cut X-axis Lithium Niobate, X-cut112.2 Y-direction Lithium Tantalate to name a few. Examples ofsubstrates supporting leaky surface acoustic waves are LST Quartz, 64degree YX Lithium Niobate and 36 to 42 degree YX Lithium Tantalate.Examples of substrates supporting surface skimming bulk waves areRotated Y-cut ST-quartz, 35.5 degree (AT) rotated Y-cut quartz and 36degree rotated YX-Lithium Tantalate.

Furthermore, acoustic resonators may be designed on multi-layersubstrates such as, but not limited to, Lithium Tantalate with a SiO2layer or a diamond substrate consisting of Si/Diamond/ZnO/Al/SiO2 suchas that presently being developed by Sumitomo.

Turning now to possible applications of the type of filters shown in thedrawings and described herein, FIG. 25 is a block diagram of a networkelement for a wireless communication system in which band reject filtersin accordance with embodiments of the invention may be implemented. Thenetwork element of FIG. 25 is a base station for a cellular mobile radionetwork.

The antenna 20 is used to transmit signals to and receive signals frommobile communication terminals, illustratively handsets, at differentrespective frequencies. A duplexer 22 is used to feed signals in atransmit band from a power amplifier 24 to the antenna 20, and to feedsignals in a receive band from the antenna 20 to an LNA 26.

An acoustic resonator band reject filter 28 is connected betweenamplifier stages 30 and 32 of the power amplifier 24, and is used toreject frequencies in the receive band. This reduces the energy presentin the receive band at the input 34 to the duplexer 22.

Another acoustic resonator band reject filter 36 is tuned to reject thetransmit band at the input stage to the LNA 26.

By incorporating the filters 28 and 36 into a network element, theoperating margins of the duplexer 22 may be reduced, since thesensitivity of the LNA to energy in the transmit band is reduced by thefilter 36. The likelihood of the power amplifier 24 introducing energyin the receive band into the duplexer 22 is also reduced by the filter28. Thus the cost of the duplexer 22 may be reduced, resulting in asignificant cost saving in the overall cost of the network element.

It will be appreciated that although FIG. 25 shows two amplifier stages30 and 32 and a single interstage filter 28, the number of amplifierstages and the number of interstage filters may vary from that shown.Similarly, the representation of the band reject filter 36 and thesingle LNA 26 is intended only to represent one possible example of theuse of filter according to embodiments of the present invention.

Those skilled in the art will also appreciate that a communicationterminal such as a mobile telephone handset may incorporate a duplexerwhich is similar in operation to the duplexer 22 of FIG. 25. The purposeoff the duplexer is to allow simultaneous transmission and reception indifferent frequency bands using the same antenna while ensuring thatrelatively high power transmit signals do not swamp the received signalswhich are to be amplified by the LNA. Thus, it is possible to use bandreject filters of the type disclosed herein in either or both of networkelements such as base stations and communication terminals such ashandsets.

As discussed previously, LNA and PA circuitry often employ Quadraturecouplers or Wilkinson Combiners to join multiple transistors. There aremany advantages to such implementations such as the improved return lossprovided by the quadrature combiners, a 3 dB improvement in achievablepowers or linearity etc.

FIG. 26 depicts an LNA or PA circuit implemented with Quadraturecouplers at its input and output. LNA's or PA's are often implementedusing Quadrature couplers to ensure a good input and output match, aswell as improved sensitivity and linearity. The operation of the basiccircuit, including the Matching Networks and voltage source V_(DD), willbe understood by those skilled in the art. In this particularimplementation band reject filters have been designed around thequadrature couplers by locating pairs of resonators Res94 and Res96,Res95 and Res97, Res90 and Res92, and Res91 and Res93 on opposite sidesof quarter-wave transmission lines TL90 and TL91.

FIG. 27 depicts either an LNA or PA circuit using Wilkinson combiners tolink two gain stages in parallel. A band reject filter in designedaround the Wilkinson combiners at both the input and output of the gainblock by locating pairs of resonators Res100 and Res102, Res104 andRes102, Res106 and Res110, and Res108 and Res110 on opposite sides ofquarter-wave transmission lines TL100, TL101, Tl102 and TL103. Using theimpedance inverters already existing in the LNA or PA circuit minimizesRF loss and reduces space requirements.

Although FIGS. 26 and 27 show band reject filter according to theinvention on both the input and the output, it will be understood that aband reject filter may be provided on only the input or only the output.

It should be noted that the band reject filter may also be used toreject other sources of interference, from the aircraft band forinstance.

Various filters according to embodiments of the invention have beendescribed above, and provide additional filter design flexibility whichcan be quite valuable. In one instance when designing an InterferenceMitigation Filter it may be desirable to allow a DC power signal of afew volts to propagate through the filter. In Base station environmentsa DC signal is often fed from the Antenna port of the BTS, up theantenna feeder, to a module at the mast head. Examples of such scenariosmay be when tower top amplifiers are used or programmable tilt antennas.In such a case the ability to design the filter using exclusively shuntresonators would greatly facilitate this task since any DC signalapplied to the input port would have a direct DC path to the outputport.

In other instances it may be possible to design a shunt or seriesresonator with the desired transfer function or power handlingcharacteristics but not both. In such a case the ability to synthesis adesired filter using exclusively series or shunt resonators would beadvantageous. In a high power application a series resonator may beundesirable since the resonator would need to pass the full RF powerincident upon it. On the other hand, a shunt resonator need only survivethe potential difference between the RF track and ground but does notneed to pass the RF current.

In a scenario where the high side of the rejection band will besubjected to elevated RF powers it would be desirable to have little orno acoustic resonance on the high side of the rejection band. In such acase using only series resonators would be advantageous. Seriesresonators would be at their anti-resonance state within the rejectionband. Above the rejection band the resonators would look like acapacitor and would be able to withstand significantly higher powersthan a device which exhibits a strong acoustic response over thisfrequency range. Shunt resonators would be undesirable since within therejection band they would be at their resonance frequency, and thereforeabove the rejection band they would be at their anti-resonancefrequency. Since the shunt devices would exhibit large acousticresonance (ie: since they are at their anti-resonance frequency) overthe pass band they would be unable to withstand large RF powers.

Conversely, in a scenario where the low side of the pass band will besubjected to elevated RF powers it would be advantageous to use shuntresonators exclusively. The shunt resonators would form the rejectionband at their resonance frequency. Below their resonance frequency thedevices behave as capacitors will little or no acoustic response. Theanti-resonance frequency of these resonators would be above the actualresonance frequency, away from the elevated RF powers located at afrequency below the rejection band. Since the devices behave ascapacitors below the rejection band, which is formed by the resonance ofthe shunt resonators, the pass band of the device is formed primarily bythe interdigital capacitance of the transducers with impedance invertersto match successive devices. Since there is no acoustic resonance in thepass band the filter can withstand significantly larger RF powers withinits pass band than a comparable pass band filter. The failure mechanismfor this device would be arcing rather than acousto-electric migrationdue to the lack of acoustic resonance in its pass band.

What has been described is merely illustrative of the application of theprinciples of the invention. Other arrangements and methods can beimplemented by those skilled in the art without departing from the scopeof the present invention.

For example, the invention is in no way limited to any particularcomponent values and response characteristics shown in the drawingsand/or described herein. These values and characteristics are providedsolely for illustrative purposes.

1. A radio frequency band reject filter comprising: a first acousticresonator and a second acoustic resonator, the first and second acousticresonators comprising either shunt resonators adapted to resonatesubstantially at respective resonance frequencies defining a rejectionfrequency band or series resonators adapted to anti-resonatesubstantially at respective anti-resonance frequencies defining therejection frequency band; and a phase shifter connecting the firstacoustic resonator and the second acoustic resonator and adapted toimpart an impedance phase shift of between 45° and 135°; wherein thefirst acoustic resonator comprises one of a first plurality of acousticresonators that are connected to the second acoustic resonator throughthe phase shifter; wherein the second acoustic resonator comprises oneof a second plurality of acoustic resonators that are connected to thefirst acoustic resonator through the phase shifter; wherein the firstplurality of acoustic resonators and the second plurality of acousticresonators comprise different numbers of acoustic resonators.
 2. Thefilter of claim 1 wherein the impedance phase shift is approximately90°.
 3. The filter of claim 1 wherein the impedance phase shift providesan approximate impedance inversion.
 4. The filter of claim 1 wherein theimpedance phase shift transforms an impedance to approximately itscomplex conjugate.
 5. The filter of claim 1, wherein the first pluralityof acoustic resonators and the second plurality of acoustic resonatorseach comprise a series resonator and a shunt resonator connected to thephase shifter.
 6. The filter of claim 1, wherein the first plurality ofacoustic resonators and the second plurality of acoustic resonators eachcomprise a plurality of shunt resonators connected in parallel betweenthe phase shifter and ground.
 7. The filter of claim 1, wherein thefirst plurality of acoustic resonators and the second plurality ofacoustic resonators each comprise a plurality of series resonatorsconnected in parallel.
 8. The filter of claim 1, wherein the first andsecond acoustic resonators comprise resonators selected from the groupconsisting of: surface acoustic wave resonators and thin film bulkacoustic resonators.
 9. The filter of claim 1, wherein the phase shiftercomprises an element selected from the group consisting of aquarter-wave transmission line, a Shiffman coupler, a quadraturecoupler, a discrete impedance inverter, and a splitter/combiner.
 10. Thefilter of claim 1, further comprising: a third acoustic resonator of thesame shunt or series type as the first and second acoustic resonators;and a second phase shifter connecting the third acoustic resonator toone of the first and second acoustic resonators and adapted to impart animpedance phase shift of between 45° and 135°.
 11. The filter of claim 1further comprising at least one inductor wherein the inductor inconjunction with the phase shifter is adapted to transform an impedanceto approximately its complex conjugate.
 12. A power amplifier comprisingthe filter of claim
 1. 13. A duplexer comprising the filter of claim 1.14. A low noise amplifier comprising the filter of claim
 1. 15. Acommunication system comprising communication equipment incorporatingthe filter of claim
 1. 16. The system of claim 15, wherein thecommunication equipment comprises at least one of network elements andcommunication terminals.
 17. A radio frequency band reject filtercomprising: a first acoustic resonator and a second acoustic resonator,the first and second acoustic resonators comprising either shuntresonators adapted to resonate substantially at respective resonancefrequencies defining a rejection frequency band or series resonatorsadapted to anti-resonate substantially at respective anti-resonancefrequencies defining the rejection frequency band; and a phase shifterconnecting the first acoustic resonator and the second acousticresonator and adapted to impart an impedance phase shift of between 45°and 135°; the filter further comprising: a splitter/combiner havingthree ports, of which one port is connected to the two other ports; athird acoustic resonator of the same shunt or series type as the firstand second acoustic resonators; and a second phase shifter, connectingthe first acoustic resonator and the third acoustic resonator andadapted to impart an impedance phase shill of between 45° and 135°;wherein the phase shifter and the second phase shifter are respectivelyconnected to the two other ports, and wherein the first, second, andthird acoustic resonators are respectively connected to the one port andthe two other ports.
 18. The filter of claim 17, wherein the phaseshifter and the second phase shifter are integrated with thesplitter/combiner and respectively connect the one port to the two otherports.
 19. The filter of claim 17, wherein the splitter/combinercomprises a Wilkinson splitter/combiner.
 20. A radio frequency bandreject filter comprising: a first acoustic resonator and a secondacoustic resonator, the first and second acoustic resonators comprisingeither shunt resonators adapted to resonate substantially at respectiveresonance frequencies defining a rejection frequency band or seriesresonators adapted to anti-resonate substantially at respectiveanti-resonance frequencies defining the rejection frequency band; and aphase shifter connecting the first acoustic resonator and the secondacoustic resonator and adapted to impart an impedance phase shift ofbetween 45° and 135°; the filter further comprising: a plurality ofthird acoustic resonators of the same shunt or series type as the firstand second acoustic resonators; and respective phase shifters connectingeach of the plurality of third acoustic resonators to the first acousticresonator, the second acoustic resonator, or another acoustic resonatorof the plurality of third acoustic resonators wherein the respectivephase shifters are adapted to impart an impedance phase shift of between45° and 135°.
 21. The filter of claim 20, wherein at least some of thefirst acoustic resonator, the second acoustic resonator, and theplurality of third acoustic resonators are tuned to different resonanceor anti-resonance frequencies.
 22. The filter of claim 20, wherein atleast some of the first acoustic resonator, the second acousticresonator, and the plurality of third acoustic resonators are tuned tosubstantially the same resonance or anti-resonance frequencies.
 23. Amethod of filtering a signal comprising: passing the signal through afirst acoustic resonator comprising either a shunt resonator adapted toresonate substantially at a resonance frequency defining a rejectionfrequency band or a series resonator adapted to anti-resonatesubstantially at an anti-resonance frequency defining the rejectionfrequency band; passing the signal through a splitter/combiner havingthree ports, of which a first port is connected to second and thirdports, wherein the first port is connected to the first acousticresonator, the second port is connected to a first phase shifter and thethird port is connect to a second phase shifter; passing a first portionof the signal from the second port through the first phase shifteradapted to impart an impedance phase shift of between 45° and 135°;passing the first portion of the signal through a second acousticresonator comprising an acoustic resonator of the same shunt or seriestype as the first acoustic resonator; passing a second portion of thesignal from the third port through the second phase shifter adapted toimpart an impedance phase shift of between 45° and 135°; and passing thesecond portion of the signal through a third acoustic resonatorcomprising an acoustic resonator of the same shunt or series type as thefirst acoustic resonator.